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Analysis of intersonic crack growth in unidirectional fiber-reinforced composites. (English) Zbl 0963.74050
From the summary: For unidirectional fiber-reinforced graphite/epoxy composite materials, we obtain the asymptotic fields near an intersonically propagating crack tip. It is shown that mode-I intersonic crack propagation is impossible because the crack tip energy release rate supplied by the elastic asymptotic field is negative and unbounded, which is physically unacceptable since a propagating crack tip cannot radiate out energy. For mode II, however, we establish that there exists a single crack tip velocity (higher than the shear wave speed) that gives a finite and positive crack tip energy release rate. At all other intersonic crack tip speeds the energy release rate supplied by the elastic asymptotic field is identically zero. This critical crack tip velocity agrees well with the stable crack tip velocity observed in experiments.

74R10 Brittle fracture
74E30 Composite and mixture properties
74H35 Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
Full Text: DOI
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